• A NOTE ON THE USE OF PRODUCT MEAN (E, q)B IN THE TRIGONOMETRIC FOURIER APPROXIMATION

PANKAJINI TRIPATHY, BIRUPAKHYA PRASAD PADHYBIRUPAKHYA PRASAD

Abstract


A. Zygmund introduced trigonometric Fourier approximation where as L. Mcfadden [2] introduced Lipchitz class. Dealing with degree of approximation of conjugate series of a Fourier series Padhy et al. have established some theorems. In this paper, we have extended their result and established a theorem on the use of product mean in the degree of Approximation of the conjugate series of Fourier series of a function of weighted Lipchitz class.


Keywords


Degree of Approximation, class of function, - mean, - mean, -product mean, Conjugate Fourier series, Lebesgue integral.

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